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Finding the Fourth Proportional to 194,893.88, 292,321.64 and 132,117.26

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Solution

The fourth proportional to 194,893.88, 292,321.64 and 132,117.26 is: 198,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,893.88 : 292,321.64 = 132,117.26 : x
  2. Step 2: Convert to fraction form
    194,893.88/292,321.64 = 132,117.26/x
  3. Step 3: Cross multiply
    194,893.88x = 292,321.64 × 132,117.26
  4. Step 4: Simplify right side
    194,893.88x = 38,620,734,115.51
  5. Step 5: Solve for x
    x = 38,620,734,115.51/194,893.88
  6. Step 6: Final answer
    x = 198,162.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.